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Planewave expansion methods for photonic crystal fibres

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Publication:1932645
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DOI10.1016/j.apnum.2012.09.008zbMath1269.82009OpenAlexW2164686000MaRDI QIDQ1932645

Robert Scheichl, Richard A. Norton

Publication date: 21 January 2013

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: http://opus.bath.ac.uk/33995/1/Scheichl_App_Num_Math_2013_63_88.pdf

zbMATH Keywords

samplingsmoothingerror analysisspectral approximationplane-wave expansion methodFourier methods


Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Statistical mechanics of crystals (82D25) Quantum optics (81V80) Lasers, masers, optical bistability, nonlinear optics (78A60)


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On the second-order homogenization of wave motion in periodic media and the sound of a chessboard, Adaptive finite element methods for computing band gaps in photonic crystals, Non-consistent approximations of self-adjoint eigenproblems: application to the supercell method, An a posteriori error estimator for \(hp\)-adaptive continuous Galerkin methods for photonic crystal applications, Regularity for Maxwell eigenproblems in photonic crystal fibre modelling, Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients



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